Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze38.0ms (4.4%)

Memory

-10.5MiB live, 70.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample647.0ms (76.5%)

Memory

40.7MiB live, 1 059.1MiB allocated

Samples

393.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-div: 69.0ms (33.7% of total)

ival-mult: 68.0ms (33.2% of total)

ival-add: 57.0ms (27.8% of total)

ival-true: 7.0ms (3.4% of total)

ival-assert: 4.0ms (2% of total)

Bogosity

explain61.0ms (7.2%)

Memory

-21.3MiB live, 99.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	2	(6.118817630286914e-274 1.0388772488015679e-50 -3.602248628015786e-164)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	27	0
↳	`(*.f64 x (+.f64 y z))`	overflow	44
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	14	0
↳	`(*.f64 x (+.f64 y z))`	underflow	14

Confusion

	Predicted +	Predicted -
+	41	2
-	0	213

Precision

1.0

Recall

0.9534883720930233

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	2
-	0	0	213

Precision?

1.0

Recall?

0.9534883720930233

Freqs

test

number	freq
0	215
1	41

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.9% of total)

ival-mult: 4.0ms (36.9% of total)

ival-add: 3.0ms (27.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess3.0ms (0.4%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.2%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y z)
cost-diff	0	(*.f64 x (+.f64 y z))
cost-diff	0	(/.f64 (*.f64 x (+.f64 y z)) z)

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z

localize18.0ms (2.2%)

Memory

-10.2MiB live, 28.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.015625	(*.f64 x (+.f64 y z))
accuracy	10.119925167385706	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.5% of total)

ival-mult: 2.0ms (38.5% of total)

ival-add: 1.0ms (19.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.9%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

3 → 22

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

Outputs
(/ (* x (+ y z)) z)
(* x (+ y z))
x
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
z
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ x (/ (* x y) z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	0	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

22 → 3

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(* x (+ y z))
x
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
z
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ x (/ (* x y) z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Outputs
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(* x (+ y z))
(*.f64 x (+.f64 y z))
x
(+.f64 y z)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)

eval1.0ms (0.1%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 60 to 13 computations (78.3% saved)

prune1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	2	7

Accuracy

84.3%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	3.2%	#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y z)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)
y
z

Outputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)
y
z

localize18.0ms (2.2%)

Memory

-6.7MiB live, 35.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 y z)
accuracy	61.94123586778624	#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Samples

14.0ms

256×

valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 4.0ms (52.2% of total)

ival-div: 2.0ms (26.1% of total)

ival-mult: 2.0ms (26.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.3%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

2 → 14

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)

Outputs
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
z
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ y z))
0.0ms	x	@	0	((/ (* x (+ y z)) z) (+ y z))
0.0ms	x	@	inf	((/ (* x (+ y z)) z) (+ y z))
0.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ y z))
0.0ms	y	@	inf	((/ (* x (+ y z)) z) (+ y z))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

14 → 2

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
z
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Outputs
(/ (* x (+ y z)) z)
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
x
(+.f64 y z)

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)

Outputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(+.f64 y z)

eval0.0ms (0.1%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 41 to 9 computations (78% saved)

prune2.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	3	2	5

Accuracy

84.3%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	3.2%	#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes9.0ms (1.1%)

Memory

-19.9MiB live, 17.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))
(/.f64 (*.f64 x (+.f64 y z)) z)

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)

Calls

4 calls:

5.0ms	y
2.0ms	x
1.0ms	z
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
84.2%	1	`x`
84.2%	1	`y`
84.2%	1	`z`
84.2%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.6%)

Memory

14.8MiB live, 14.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Outputs
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Calls

4 calls:

1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
3.2%	1	`y`
3.2%	1	`x`
3.2%	1	`z`
3.2%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

simplify4.0ms (0.5%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ (* x (+ y z)) z) (+.f64 y z))

soundness0.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Stop Event

1×

done

Compiler

Compiled 18 to 10 computations (44.4% saved)

preprocess25.0ms (2.9%)

Memory: -21.1MiB live, 56.8MiB allocated
Compiler: Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (4.4%)

sample647.0ms (76.5%)

explain61.0ms (7.2%)

preprocess3.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize18.0ms (2.2%)

series7.0ms (0.9%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize18.0ms (2.2%)

series3.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune2.0ms (0.2%)

regimes9.0ms (1.1%)

regimes5.0ms (0.6%)

simplify4.0ms (0.5%)

soundness0.0ms (0.1%)

preprocess25.0ms (2.9%)

end0.0ms (0%)

Profiling